2024/09/19 by G. A. Grigorian, Grigorian, G. A.
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #F.2.2 #FOS: Mathematics #I.2.7 #Matrix Theory and Algorithms #Numerical methods for differential equations #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2409.12563
openalex publication_date 2024/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Riccati equation method is used to establish new oscillation criteria for extended linear matrix Hamiltonian systems. This method allows to obtain results in in a new direction, which is to break the positive definiteness condition, imposed on one of coefficients of the system. Some examples are provided for comparing the obtained results with each other and with the result of K. I. Al - Dosary, H. Kh. Abdullah and D. Husein.